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Finding the Fourth Proportional to 48,361.08, 66,769.24 and 39,430

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Solution

The fourth proportional to 48,361.08, 66,769.24 and 39,430 is: 54,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,361.08 : 66,769.24 = 39,430 : x
  2. Step 2: Convert to fraction form
    48,361.08/66,769.24 = 39,430/x
  3. Step 3: Cross multiply
    48,361.08x = 66,769.24 × 39,430
  4. Step 4: Simplify right side
    48,361.08x = 2,632,711,133.20
  5. Step 5: Solve for x
    x = 2,632,711,133.20/48,361.08
  6. Step 6: Final answer
    x = 54,438.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.